math/index.tex

81 lines
957 B
TeX

\documentclass{article}
\usepackage[utf8]{inputenc}
% \maketitle
\title{Trinomios}
\author{Unknown}
\date{2025}
% \maketitle End
\begin{document}
\maketitle
\section{Introduction}
\section{Comun Factor}
$$ AB + AC $$
$$ AB + AC + AA $$
$$ AB + AC + AA - A^2 $$
$$ Factor = A $$
$$ AB + AC + AA - A^2 $$
Formula
$$ = A(B + C + A - A)$$
$$ = A(B) A(C) A(A) A(A)$$
Problems
$$ 5m^2 + 15m^3$$
\[
\begin{array}{rr|r}
5 & 15 & 5 \\
1 & 3 &
\end{array}
\]
$$ = 5m^2(1 + 3m) $$
\section{Trinomio}
Trinomio $X^{2}-BX+C = (X - P)(X - I)$
Formula
$$X^{2}-BX+C = (X - P)(X - I)$$
$$(P)(I) = C$$
$$P-I = B$$
$$I<P$$
Problem
$$ \lim_{x\to5} \frac{X^2-7X+10}{X-5} $$
$$ = \lim_{x\to5} {X^2-7X+10} = {(X-5)(X-2)} $$
$$ = \lim_{x\to5} \frac{X^2-7X+10 = (X-5)(X-2)}{X-5}$$
$$ = \lim_{x\to5} \frac{(X-5)(X-2)}{X-5}$$
$$ = \lim_{x\to5} \left(\frac{X^2-7X+10}{X-5}\right) $$
Problem
$$ = \lim_{x\to5} \frac{(X-5)(X-2)}{X-5}$$
\end{document}